ExampleConsider three point charges located at the corners of a right triangle as shown in thefigure, where q1 = q3 = 5.0 µC, q2 = 2.0 µC, and a = 0.10 m. Find the electric field at q3and the resultant force exerted on this charge.At the location of q3, the total electric field E is equal tothe vector sum of the two individual fields, E, and E2. First,calculate the magnitude of E, and E2.92The distance between q, and q3 can be calculated usingthe Pythagorean Theorem:ar13 = Va? + a² =VZa91E = kr132m2 5.0 x 10-6 CC2) 2(0.10 m)²8.988 x 10° N -= 2.2 x 106 N/C922.0 x 10-6 CE2 = k-r2328.988 x 10° NC2(0.10 m)?= 1.8 x 106 N/c Find the components of the resultant electric field at the location of q3.E, = E1x + E2x = 1.6 x 10° N/C – 1.8 × 10° N/C = -0.2 × 10° N/C%3DEy = E1y + E2y = 1.6 × 106 N/C

The magnitude of the three charges are given as, q1=q2=5 μC, q3=2 μC. The distance-a is given as,…

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